1. ## Right Triangle problem

Inscription Rock rises straight upward from the valley floor. From one point the angle of elevation of the top of the rock is 16.7 degree. From a point 168m closer to the rock, the angle of elevation of the top of the rock is 24.1 degree. How high is Inscription Rock?

I want to have a sketch of this right triangle with the degree and length

2. Hello, stupid_kid!

Inscription Rock rises straight upward from the valley floor.
From one point the angle of elevation of the top of the rock is 16.7°.
From a point 168m closer to the rock, the angle of elevation of the top of the rock is 24.1°.
How high is Inscription Rock?

Here's the diagram . . .
Code:
A*
| * *
|   *   *
|     *     *
y|       *       *
|         *         *
|           *           *
|       24.1° *       16.7° *
- * - - - - - - - * - - - - - - - * -
B       x       C      168      D

The height of the Rock is: $\displaystyle y = AB.$

The first point of observation is $\displaystyle D:\;\;\angle ADB = 16.7^o.$
The second point of observation is $\displaystyle C:\;\;\angle ACB = 24.1^o.$
. . Then: $\displaystyle CD = 168$ m.
Let $\displaystyle x = BC.$

Here's a start . . .

In right triangle $\displaystyle ABD:\;\;\tan16.7^o\,=\,\frac{y}{x+168}$

In right triangle $\displaystyle ABC:\;\;\tan24.1^o \,=\,\frac{y}{x}$

You should be able to eliminate $\displaystyle x$ from the equations and solve for $\displaystyle y$.