Question : TF is a tower with point F on the ground. The angle of elevation of T from A is $\tan\;x^{\circ}=\frac{2}{5}$ and AF = 200 m. The angle of elevation of T from a nearer point B is $y^{\circ}$ with BF = 80 m. The value of $y$ is:
Option 1: 60$^{\circ}$
Option 2: 30$^{\circ}$
Option 3: 75$^{\circ}$
Option 4: 45$^{\circ}$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 45$^{\circ}$
Solution : Let Height of the tower = $TF = h$ metre $\angle TAF = x^{\circ}$, $\angle TBF = y^{\circ}$ $BF = 80$ metres and $AF = 200$ metres In $\Delta AFT$, $\tan x^{\circ} = \frac{TF}{AF}$ ⇒ $\frac{2}5=\frac{h}{200}$ ⇒ $ h=80$ m in $\Delta BFT$, $\tan y^{\circ} = \frac{TF}{FB}$ ⇒ $\tan y^{\circ} =\frac{80}{80}$ ⇒ $\tan y^{\circ}= 1$ So, $\tan y^{\circ} = \tan 45^{\circ}$ ⇒ $y=45^{\circ}$ Hence, the correct answer is 45$^{\circ}$.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The angle of elevation of the top of a tower from a point on the ground is 30° and moving 70 m towards the tower it becomes 60°. The height of the tower is:
Question : A vertical pole and vertical tower are standing on the same level of ground. The height of the pole is 10 m. From the top of the pole, the angle of elevation of the top of the tower and the angle of depression of the foot of the tower are 60° and 30° respectively. The
Question : The angle of depression of a point situated at a distance of 70 m from the base of a tower is $60^{\circ}$. The height of the tower is:
Question : If $ABCD$ is a cyclic quadrilateral with $\angle A=50^{\circ},\angle B=80^{\circ}$, then $\angle C$ and $ \angle D$ are:
Question : In a triangle ABC; 8$\angle$A = 6$\angle$B = 3$\angle$C. What are the degree measures of $\angle$ A, $\angle$ B, and $\angle$C?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile